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285493248 = 211341721
BaseRepresentation
bin10001000001000…
…100100000000000
3201220012120010000
4101001010200000
51041041240443
644155040000
710034436555
oct2101044000
9656176100
10285493248
11137176337
127b740000
13471bbb21
1429cb8a2c
151a0e58d3
hex11044800

285493248 has 120 divisors (see below), whose sum is σ = 853242390. Its totient is φ = 95109120.

The previous prime is 285493217. The next prime is 285493249. The reversal of 285493248 is 842394582.

285493248 is a `hidden beast` number, since 285 + 49 + 324 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 215737344 + 69755904 = 14688^2 + 8352^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (285493249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165028 + ... + 166748.

Almost surely, 2285493248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426621195).

285493248 is an abundant number, since it is smaller than the sum of its proper divisors (567749142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285493248 is an equidigital number, since it uses as much as digits as its factorization.

285493248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1726 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 285493248 is about 16896.5454457413. The cubic root of 285493248 is about 658.4638654733.

The spelling of 285493248 in words is "two hundred eighty-five million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1721 1728 2048 2304 2592 3072 3442 3456 4608 5163 5184 6144 6884 6912 9216 10326 10368 13768 13824 15489 18432 20652 20736 27536 27648 30978 41304 41472 46467 55072 55296 61956 82608 82944 92934 110144 123912 139401 165216 165888 185868 220288 247824 278802 330432 371736 440576 495648 557604 660864 743472 881152 991296 1115208 1321728 1486944 1762304 1982592 2230416 2643456 2973888 3524608 3965184 4460832 5286912 5947776 7930368 8921664 10573824 11895552 15860736 17843328 23791104 31721472 35686656 47582208 71373312 95164416 142746624 285493248